Nagoya Mathematical Journal

An application of Ritt's low power theorem

Michihiko Matsuda

Full-text: Open access

Article information

Source
Nagoya Math. J., Volume 68 (1977), 17-19.

Dates
First available in Project Euclid: 14 June 2005

Permanent link to this document
https://projecteuclid.org/euclid.nmj/1118796539

Mathematical Reviews number (MathSciNet)
MR0457419

Zentralblatt MATH identifier
0373.12012

Subjects
Primary: 12H05: Differential algebra [See also 13Nxx]

Citation

Matsuda, Michihiko. An application of Ritt's low power theorem. Nagoya Math. J. 68 (1977), 17--19. https://projecteuclid.org/euclid.nmj/1118796539


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References

  • [1] A. R. Forsyth, Theory of differential equations, Part II,Ordinary equations,not linear, Vol. II,Cambridge Univ. Press, London, 1906.
  • [2] K. Iwasawa, Theory of algebraic function fields (in Japanese), Iwanami Shoten, Tokyo,1952.
  • [3] E. R. Kolchin, Galois theory of differential fields, Amer. J. Math., 75 (1953), 753-824.
  • [4] E. Picard, Traite d'analyse, Tome II,2e Edition, Gauthier-Villars, Paris,1905.
  • [5] J. F.Ritt, Differential algebra, Amer. Math. Soc. Colloq. Publ. Vol. 33,NewYork, 1950. Department of Mathematics Osaka University